1305513320323 has 2 divisors, whose sum is σ = 1305513320324. Its totient is φ = 1305513320322.

The previous prime is 1305513320317. The next prime is 1305513320351. The reversal of 1305513320323 is 3230233155031.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1305513320323 - 2³³ = 1296923385731 is a prime.

It is not a weakly prime, because it can be changed into another prime (1305513321323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652756660161 + 652756660162.

It is an arithmetic number, because the mean of its divisors is an integer number (652756660162).

Almost surely, 2^{1305513320323} is an apocalyptic number.

1305513320323 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305513320323 is an equidigital number, since it uses as much as digits as its factorization.

1305513320323 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24300, while the sum is 31.

Adding to 1305513320323 its reverse (3230233155031), we get a palindrome (4535746475354).

It can be divided in two parts, 13055133 and 20323, that added together give a square (13075456 = 3616²).

The spelling of 1305513320323 in words is "one trillion, three hundred five billion, five hundred thirteen million, three hundred twenty thousand, three hundred twenty-three".